Question

Direct materials information Medium speed bump Large speed bump

Standard pounds per unit 15 ?

Standard price per pound $1.00 $1.80

Actual quantity purchased and used per unit ? 16

Actual price paid for material per pound $1.80 $2.10

Direct materials price variance $1,120 U $1,920 U

Direct materials quantity variance $100 F ?

Total direct material variance ? $480 U

Number of units produced 100 400


Calculate missing direct material variables

Answer 1

Step-by-step explanation:

For Medium speed bump

AQ AP AQ SP SQ SP

1,400 $ 1.80 1,400 $ 1.00 1,500 $ 1.00

$ 2,520.00 $ 1,400.00 $ 1,500.00

A B C

DMPV A-B $ 1,120.00 U

DMQV C-B $ 100.00 F

DMV A-C $ 1,020.00 U

We know that Direct material price variance = AQ(AP-SP) = 1120

AQ = 1120/(AP-SP)

AQ = 1120/(1.80-1.00)

AQ = 1,400

SQ = 100 x 15 = 1500

For Large speed bump

AQ AP AQ SP SQ SP

6,400 $ 2.10 6,400 $ 1.80 7,200 $ 1.80

$ 13,440.00 $ 11,520.00 $ 12,960.00

A B C

DMPV A-B $ 1,920.00 U

DMQV C-B $ 1,440.00 F

DMV A-C $ 480.00 U

Using this equation , DMV = DMPV + DMQV

DMQV = DMV-DMPV

DMQV = 480-1920

DMQV = 1440 F

Direct material quantity variance = SP(SQ-AQ) = 1440

SQ-AQ = 1440/SP

1440/SP + AQ = SQ

1440/1.8 + 6400 = SQ

SQ = 7200